Question: Bayes Rule (10.0 points)
A metropolitan school system consists of two districts – north and south. The north district contains 60% of all students, and the south district contains 40% of all students. A minimum competency test was given to all students. 10% of the north district students failed, and 15% of the south district students failed.

What is the probability that a student who has failed the test came from the South District?

1. 0.15
   b) 0.40
   c) 0.50
   d) 0.75

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